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What is the Least Common Multiple of 11355 and 11370?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 11355 and 11370 is 8607090.

LCM(11355,11370) = 8607090

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Least Common Multiple of 11355 and 11370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11355 and 11370, than apply into the LCM equation.

GCF(11355,11370) = 15
LCM(11355,11370) = ( 11355 × 11370) / 15
LCM(11355,11370) = 129106350 / 15
LCM(11355,11370) = 8607090

Least Common Multiple (LCM) of 11355 and 11370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11355 and 11370. First we will calculate the prime factors of 11355 and 11370.

Prime Factorization of 11355

Prime factors of 11355 are 3, 5, 757. Prime factorization of 11355 in exponential form is:

11355 = 31 × 51 × 7571

Prime Factorization of 11370

Prime factors of 11370 are 2, 3, 5, 379. Prime factorization of 11370 in exponential form is:

11370 = 21 × 31 × 51 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 11355 and 11370.

LCM(11355,11370) = 31 × 51 × 7571 × 21 × 3791
LCM(11355,11370) = 8607090